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1300000401 = 33747146347
BaseRepresentation
bin100110101111100…
…0110111010010001
310100121011212022000
41031133012322101
510130300003101
6332555304213
744133551430
oct11537067221
93317155260
101300000401
116078a85a7
1230344b069
1317943820b
14c4921117
15791e0486
hex4d7c6e91

1300000401 has 32 divisors (see below), whose sum is σ = 2247905280. Its totient is φ = 727046928.

The previous prime is 1300000399. The next prime is 1300000423. The reversal of 1300000401 is 1040000031.

It is not a de Polignac number, because 1300000401 - 21 = 1300000399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1300000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64291 + ... + 82056.

It is an arithmetic number, because the mean of its divisors is an integer number (70247040).

Almost surely, 21300000401 is an apocalyptic number.

It is an amenable number.

1300000401 is a deficient number, since it is larger than the sum of its proper divisors (947904879).

1300000401 is a wasteful number, since it uses less digits than its factorization.

1300000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146410 (or 146404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300000401 is about 36055.5183155089. The cubic root of 1300000401 is about 1091.3929952787.

Adding to 1300000401 its reverse (1040000031), we get a palindrome (2340000432).

The spelling of 1300000401 in words is "one billion, three hundred million, four hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 146347 439041 1024429 1317123 3073287 3951369 6878309 9219861 20634927 27659583 48148163 61904781 144444489 185714343 433333467 1300000401